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Supersymmetric one-parameter strict isospectrality for the attractive delta potentials

L. J. Boya, H. C. Rosu, A. J. Segui-Santonja, J. Socorro, F. J. Vila

quant-pharXiv:quant-ph/9709019

Abstract

The Schrödinger equation with attractive delta potential has been previously studied in the supersymmetric quantum mechanical approach by a number of authors, but they all used only the particular superpotential solution. Here, we introduce a one-parameter family of strictly isospectral attractive delta function potentials, which is based on the general superpotential (general Riccati) solution, we study the problem in some detail and suggest possible applications

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